Production theory: accounting for firm heterogeneity and technical change
The paper presents a new framework to assess firm level heterogeneity and to study the rate and direction of technical change. Building on the analysis of revealed short-run production functions by Hildenbrand (1981), we propose the (normalized) volume of the zonotope composed by vectors-firms in a narrowly defined industry as an indicator of inter-firm heterogeneity. Moreover, the angles that the main diagonal of the zonotope form with the axes provides a measure of the rates and directions of technical change over time. The proposed framework can easily account for n-inputs and m-outputs and, crucially, the measures of heterogeneity and technical change do not require many of the standard assumptions from production theory.
|Date of creation:||10 2013|
|Date of revision:|
|Contact details of provider:|| Postal: Piazza dei Martiri della Liberta, 33, 56127 Pisa|
Web page: http://www.lem.sssup.it/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Giovanni Dosi & Marco Grazzi & Chiara Tomasi & Alessandro Zeli, 2012. "Turbulence underneath the big calm? The micro-evidence behind Italian productivity dynamics," Small Business Economics, Springer, vol. 39(4), pages 1043-1067, November.
- Eric J. Bartelsman & Mark Doms, 2000.
"Understanding productivity: lessons from longitudinal microdata,"
Finance and Economics Discussion Series
2000-19, Board of Governors of the Federal Reserve System (U.S.).
- Mark Doms & Eric J. Bartelsman, 2000. "Understanding Productivity: Lessons from Longitudinal Microdata," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 569-594, September.
- Cinzia Daraio & Léopold Simar, 2007.
"Conditional nonparametric frontier models for convex and nonconvex technologies: a unifying approach,"
Journal of Productivity Analysis,
Springer, vol. 28(1), pages 13-32, October.
- Cinzia Daraio & Leopold Simar, 2005. "Conditional Nonparametric Frontier Models for Convex and Non Convex Technologies: a Unifying Approach," LEM Papers Series 2005/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Julia I. Lane & John C. Haltiwanger & James Spletzer, 1999. "Productivity Differences across Employers: The Roles of Employer Size, Age, and Human Capital," American Economic Review, American Economic Association, vol. 89(2), pages 94-98, May.
- Baldwin, John R. & Rafiquzzaman, Mohammed, 1995.
"Selection versus evolutionary adaptation: Learning and post-entry performance,"
International Journal of Industrial Organization,
Elsevier, vol. 13(4), pages 501-522, December.
- Baldwin, John R. & Raffiquzzaman, Mohammed, 1995. "Selection Versus Evolutionary Adaptation: Learning and Post-entry Performance," Analytical Studies Branch Research Paper Series 1994072e, Statistics Canada, Analytical Studies Branch.
- Richard Disney & Jonathan Haskel & Ylva Heden, 2003. "Entry, Exit and Establishment Survival in UK Manufacturing," Journal of Industrial Economics, Wiley Blackwell, vol. 51(1), pages 91-112, 03.
- Giovanni Dosi & Marco Grazzi, 2006. "Technologies as problem-solving procedures and technologies as input--output relations: some perspectives on the theory of production," Industrial and Corporate Change, Oxford University Press, vol. 15(1), pages 173-202, February.
- Léopold Simar & Valentin Zelenyuk, 2011.
"Stochastic FDH/DEA estimators for frontier analysis,"
Journal of Productivity Analysis,
Springer, vol. 36(1), pages 1-20, August.
- Leopold Simar & Valentin Zelenyuk, 2008. "Stochastic FDH/DEA estimators for Frontier Analysis," Discussion Papers 8, Kyiv School of Economics.
- Chad Syverson, 2011.
"What Determines Productivity?,"
Journal of Economic Literature,
American Economic Association, vol. 49(2), pages 326-65, June.
- Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
- Luis R. Murillo-Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, 02.
- Giovanni Dosi & Marco Faillo & Luigi Marengo, 2003. "Organizational Capabilities, Patterns of Knowledge Accumulation and Governance Structures in Business Firms. An Introduction," LEM Papers Series 2003/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Hildenbrand, Werner, 1981. "Short-Run Production Functions Based on Microdata," Econometrica, Econometric Society, vol. 49(5), pages 1095-1125, September.
- Shaikh, Anwar, 1974. "Laws of Production and Laws of Algebra: The Humbug Production Function," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 115-20, February.
When requesting a correction, please mention this item's handle: RePEc:ssa:lemwps:2013/22. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.